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Finding the Fourth Proportional to 124,338, 186,584.72 and 50,466

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Solution

The fourth proportional to 124,338, 186,584.72 and 50,466 is: 75,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,338 : 186,584.72 = 50,466 : x
  2. Step 2: Convert to fraction form
    124,338/186,584.72 = 50,466/x
  3. Step 3: Cross multiply
    124,338x = 186,584.72 × 50,466
  4. Step 4: Simplify right side
    124,338x = 9,416,184,479.52
  5. Step 5: Solve for x
    x = 9,416,184,479.52/124,338
  6. Step 6: Final answer
    x = 75,730.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.